Owning to the periodicity of orbital motions, mechanical forcings such as precession [1]}, [2]}, libration [3]} and tides [4]} can drive oscillatory motions in rotating fluids, known as inertial modes or inertial waves restored by the Coriolis force [5]}. On the other hand, it has been long recognized that rotating convection close to the onset is in the form of quasi-steady columnar rolls [6]}, [7]}. At low Prandtl number (\(< 1\) ), however, it was found that the onset of convection can be in the form of an oscillatory inertial mode at leading order [8]}, suggesting that rotating convection and mechanically driven rotating flows are closely related. Indeed, a recent monograph by [9]} provided a set of unified asymptotic theories for the linear onset of convection and linear responses to mechanical forcings in rotating fluids based on an expansion of inertial waves. In this paper, we show that some aspects of the nonlinear dynamics of rotating convection can be understood within the framework of inertial wave interactions, as developed in mechanically driven rotating flows [10]}, [11]}.
